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114333453543100 = 2252111732232694199
BaseRepresentation
bin11001111111110001010100…
…111000100110011010111100
3112222211011121221220120200011
4121333301110320212122330
5104441214403101334400
61043100021412313004
733040214364054061
oct3177612470463274
9488734557816604
10114333453543100
11334805aa949140
12109a670a312764
134ba47a19126bc
142033aa9374c68
15d3411ec878ba
hex67fc54e266bc

114333453543100 has 144 divisors (see below), whose sum is σ = 273443798476800. Its totient is φ = 41150102572800.

The previous prime is 114333453543059. The next prime is 114333453543109. The reversal of 114333453543100 is 1345354333411.

It is a super-2 number, since 2×1143334535431002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114333453543109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41089801 + ... + 43783999.

It is an arithmetic number, because the mean of its divisors is an integer number (1898915267200).

Almost surely, 2114333453543100 is an apocalyptic number.

114333453543100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114333453543100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136721899238400).

114333453543100 is an abundant number, since it is smaller than the sum of its proper divisors (159110344933700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114333453543100 is a wasteful number, since it uses less digits than its factorization.

114333453543100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694620 (or 2694613 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 40.

The spelling of 114333453543100 in words is "one hundred fourteen trillion, three hundred thirty-three billion, four hundred fifty-three million, five hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 173 220 223 275 346 446 550 692 865 892 1100 1115 1730 1903 2230 2453 3460 3806 4325 4460 4906 5575 7612 8650 9515 9812 11150 12265 17300 19030 22300 24530 38060 38579 47575 49060 61325 77158 95150 122650 154316 190300 192895 245300 385790 424369 771580 848738 964475 1697476 1928950 2121845 2694199 3857900 4243690 5388398 8487380 10609225 10776796 13470995 21218450 26941990 29636189 42436900 53883980 59272378 67354975 118544756 134709950 148180945 269419900 296361890 466096427 592723780 600806377 740904725 932192854 1201612754 1481809450 1864385708 2330482135 2403225508 2963618900 3004031885 4660964270 5127060697 6008063770 6608870147 9321928540 10254121394 11652410675 12016127540 13217740294 15020159425 20508242788 23304821350 25635303485 26435480588 30040318850 33044350735 46609642700 51270606970 60080637700 66088701470 102541213940 103939503221 128176517425 132177402940 165221753675 207879006442 256353034850 330443507350 415758012884 512706069700 519697516105 660887014700 1039395032210 1143334535431 2078790064420 2286669070862 2598487580525 4573338141724 5196975161050 5716672677155 10393950322100 11433345354310 22866690708620 28583363385775 57166726771550 114333453543100